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3 years ago

The two-way table shows the number of students in a school who like reading and/or gardening.

Mathematics

1 answer:

lisov135 [29]3 years ago

5 0

hello i just took the test the answer is 26

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Which shows the following expression using positive exponents?

Hitman42 [59]

Answer:

1. option B is correct i.e., $\frac{-3a^{7}b^3b^1}{15a^{2}}$

2. option D is correct i.e., $\frac{a^3b^4}{ab^2}$ .

3. option B is correct i.e., $\frac{n^{10}}{16m^{6}}$ .

Step-by-step explanation:

1. Since the given equation is:

$\frac{-3a^{-2}b^3}{15a^{-7}b^{-1}}$

As we know that $a^{-x}=\frac{1}{a^x}$

So, the given equation can be represented as:

$\frac{-3a^{7}b^3b^1}{15a^{2}}$

2. Given equation is:

$\frac{a^3b^{-2}}{ab^{-4}}$

As we know that $a^{-x}=\frac{1}{a^x}$

so the given equation can be represented as:

$\frac{a^3b^4}{ab^2}$ .

3. Given equation is:

$(\frac{4mn}{m^{-2}n^6})^{-2}$

by using the properties $a^{-x}=\frac{1}{a^x}$ ,

and $a^x\times a^y=a^{x+y}$

$(\frac{4mn}{m^{-2}n^6})^{-2}$

= $(\frac{4n^1n^{-6}}{m^{-2}m^{-1}})^{-2}$

= $(\frac{4n^{1+(-6)}}{m^{-2+(-1)}})^{-2}$

= $(\frac{4n^{-5}}{m^{-3}})^{-2}$

= $\frac{4^{-2}n^{-5\times (-2)}}{m^{-3\times (-2)}}$

= $\frac{n^{10}}{16m^{6}}$ .

which is option B.

5 0

3 years ago

Read 2 more answers

Mark has no basketballs. cat has eight basketballs and Sophia has six balls how many do they have all together?

Aleks04 [339]

14 because Mark has none, Cat has 8 and Sophia has 6 so 8+6=14.

4 0

3 years ago

For f(x) = √x-3 find f(f^-1(4))

vlada-n [284]

Answer:

Step-by-step explanation:

f⁻¹(x) = x²+3, but none of that matters, since f(f⁻¹(x)) = x

3 0

2 years ago

two angles are supplementary the first angle measures 40 degree what's the measurement of the second angle

Leni [432]

Supplementary is when 2 angles add up to 180°.
180°-40°=140°

4 0

3 years ago

Read 2 more answers

Is 104.12 greater than 104.002

Liono4ka [1.6K]

Yes, 104.12 is greater than 104.002

because 104.12 rounds up to 104.1
and 104.002 rounds up to 104.0

8 0

2 years ago